EASY
12th CBSE
IMPORTANT
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In a LPP, the maximum value of the objective function Z=ax+by is always finite.

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Important Questions on Linear Programming

MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 1
Determine the maximum value of Z=11x+7y subject to the constraints: 2x+y≤6, x≤2, x≥0, y≥0
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12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 2
Find the maximum value of Z=3x+4y, subject to the constraints: x+y≤1, x≥0, y≥0.
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12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 3
Find the maximum value of the function Z=11x+7y, subject to the constraints: x≤3, y≤2, x≥0,y≥0
MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 4
Minimise Z=13x–15y subject to the constraints x+y≤7, 2x-3y+6≥0, x≥0, y≥0
MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 5

Determine the maximum value of Z=3x+4y, if the feasible region (shaded) for a LPP, is shown in figure.

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EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 6

Find the maximum value of Z=5x+7y in the feasible region (shaded) for a LPP shown in the figure.

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MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 7

Find the minimum value of Z=11x+7y in the feasible region for a LPP shown in the figure.

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MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 8
The feasible region for a LPP is shown in figure. Find the maximum value of Z=11x+7y.

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